Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 45 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 81 of the 97 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 O B. Ho : P1 2 P2 O C. Ho: P1 # P2 H, : P1 > P2 H1 : P1 = P2 H1 : P1 = P2 O D. Ho: P1 = P2 O E. HO: P1 = P2 OF. Ho- P1 = P2 H1 : P1 = P2 H1 : P1